I know the old adage about arguing on the internet, but I love this, it is tremendously interesting and stimulating. I never thought I'd get a chance to write an essay on light but here I am. Dumb as ever proving I have no brain.
Light is a massless particle. in special relativity (e=mc^2) it's: 0=0c^2, so it's energy is 0 eV. It has a virtual mass due to it's velocity, but this virtual mass does not effect it's capacity to travel at the speed of light.
This 0 mass and energy makes photons rather binary, they're either traveling at maximum velocity (c) or minimum velocity (0), and since brownian motion makes any particle above a temperature of 0 kelvin move, and since 0 kelvin is impossible to reach, light cannot have a velocity of 0 so it must always travel at a velocity of c.
Uh. Ragarth. I'm not a physicist, but would it be appropriate to say that light has a temperature? I know you've heard of color temperature but that is not the same thing. Light is energy, not matter and brownian motion is a random walk associated with matter and classical physics. It may have a quantum basis but it is less specific than that.
As for the photon theory of motion, I will try to explain it intuitively without any advanced concepts. First of all the direction in which a photon will be emitted by an atom is random. When the quantized energy level of an atom is decreased, a photon is emitted because the electron loses potential energy by entering a less energetic orbital (or simplistically, comes closer to the nucleus). Momentum is also lost because the electron slows down. This momentum is always enough to give the photon momentum (which is not mass related but related to the photon's ability to cause a force to be exerted on something, so it is like the force of the electron slowing down is projected in space as a "particle of force. or a momentum." Momentum is not mass times velocity in this case but the potential m(delta)v that would be exerted on a particle if it experienced the electromagnetic field caused by the photon. The photon travels at the speed of light for reasons I don't know but travels onward in the random direction it left an atom by for the same reason a disturbance in a cloth would propagate, or a wave in the ocean. The maxwell equations describe why the propagation occurs (and I will explain intuitively!!!)
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Unintelligible explanation:
The first one most basically says in words: An electric field's curl is determined by the rate of change of the magnetic field. The upside down triangle with the X next to it describes the "curl" in the electric field or the vector perpendicular to the tangent line to the electric field, specifically the perpendicular that is perpendicular to the radius of a circle that fits the curvature of the field line at a given point OK!!!!???? Am I boring you to tears? GOOD!!!
Intelligible: The above means that there is an electric field that exists with a certain "curvature" in terms of direction in which the field points that is determined by the rate of change (or speed with which) a magnetic field changes in time. There is also an equation like this for magnetism. So basically this means that if there is a distortion in the electric field somewhere, caused by a photon this is going to elicit by law, a changing magnetic field which will elicit a change in the electric field ad nauseum. A photon is the quantum of energy and momentum that is embodied by this disturbance in the magnetic field and that is how a photon gets its motion. By being affiliated with an electric and magnetic field....
Just for kicks, the maxwell equations (to teach me, I know you don't care!)
There are other equations too that give rules for the electric and magnetic fields to follow. Obviously the lines don't converge
unless there is a charge in space. that's the rho. So the angle of the change in direction of force vectors to the x y and z axes remains constant unless there is a charge, i.e. if there is no charge, the divergence is zero or there is no rate of change of direction of force vectors.
there is an equation that says the divergence of the magnetic field is always zero (there are no magnetic monopoles!!!! it says)
Then there is the analogous equation to the first one I gave.
All this says that waves are possible and do propagate at the speed of light.
Obviously I'm wrong somewhere but that really was a fun way to spend my half hour!!!!